What is the general solution for cos(3x)=-(sqrt(2))/2 ?

The general solution for cos(3x)=-(sqrt(2))/2 is x= pi/4+(2pin)/3 ,x=(5pi}{12}+\frac{2pin)/3

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cos(3x)=-(sqrt(2))/2

cos (3 x) = - \frac{2}{2}

x = \frac{π}{4} + \frac{2 πn}{3}, x = \frac{5 π}{12} + \frac{2 πn}{3}

Solution steps

cos (3 x) = - \frac{2}{2}

General solutions for

cos (3 x) = - \frac{2}{2}

3 x = \frac{3 π}{4} + 2 πn, 3 x = \frac{5 π}{4} + 2 πn

Solve

3 x = \frac{3 π}{4} + 2 πn : x = \frac{π}{4} + \frac{2 πn}{3}

Solve

3 x = \frac{5 π}{4} + 2 πn : x = \frac{5 π}{12} + \frac{2 πn}{3}

x = \frac{π}{4} + \frac{2 πn}{3}, x = \frac{5 π}{12} + \frac{2 πn}{3}

2 cos (x) + 1 = 2

sin (θ) = \frac{5}{9}

1 + sin (x) = 2 sin^{2} (x)

sec (x) = 2 csc (x)

cos^{2} (x) = 0.75

What is the general solution for cos(3x)=-(sqrt(2))/2 ?
The general solution for cos(3x)=-(sqrt(2))/2 is x= pi/4+(2pin)/3 ,x=(5pi}{12}+\frac{2pin)/3